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Finding the Fourth Proportional to 1,348.16, 1,862.18 and 1,031.51

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Solution

The fourth proportional to 1,348.16, 1,862.18 and 1,031.51 is: 1,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.16 : 1,862.18 = 1,031.51 : x
  2. Step 2: Convert to fraction form
    1,348.16/1,862.18 = 1,031.51/x
  3. Step 3: Cross multiply
    1,348.16x = 1,862.18 × 1,031.51
  4. Step 4: Simplify right side
    1,348.16x = 1,920,842.82
  5. Step 5: Solve for x
    x = 1,920,842.82/1,348.16
  6. Step 6: Final answer
    x = 1,424.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.